SOLUTION: Tom is hoping to get an A on his history course. With just the final exam left to take, he currently has an average of 85 on his quizzes and an average of 92 on his exercises

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Tom is hoping to get an A on his history course. With just the final exam left to take, he currently has an average of 85 on his quizzes and an average of 92 on his exercises      Log On


   



Question 531220: Tom is hoping to get an A on his history course. With just the final exam left to take, he currently has an average of 85 on his quizzes and an average of 92 on his exercises. The quizzes count for 40%, exercises count for 30%, and the final exam counts for 30% of the class grade. What is the minimum grade that Tom must have on the final exam to obtain an A in the class (A = 90% or higher)?

Answer by stanbon(75887) About Me  (Show Source):
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Tom is hoping to get an A on his history course. With just the final exam left to take, he currently has an average of 85 on his quizzes and an average of 92 on his exercises. The quizzes count for 40%, exercises count for 30%, and the final exam counts for 30% of the class grade. What is the minimum grade that Tom must have on the final exam to obtain an A in the class (A = 90% or higher)?
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Let "x" be Final grade needed.
Equation:
0.4*85 + 0.3*92 + 0.3x = 90
4*85 + 3*92 + 3x = 900
3x = 284
x = 94.67
Rounded up he needs a 95 on his Final
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Cheers,
Stan H.